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Finding the Third Proportional to 162,794.81 and 245,217.38

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Solution

The third proportional to 162,794.81 and 245,217.38 is: 369,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,794.81 : 245,217.38 = 245,217.38 : x
  2. Step 2: Convert to fraction form
    162,794.81/245,217.38 = 245,217.38/x
  3. Step 3: Cross multiply
    162,794.81x = 245,217.38 × 245,217.38
  4. Step 4: Simplify right side
    162,794.81x = 60,131,561,001.89
  5. Step 5: Solve for x
    x = 60,131,561,001.89/162,794.81
  6. Step 6: Final answer
    x = 369,370.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.